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comment Electromagnetism for Mathematician
William: I think you're right, but the thing is you can leverage the fact that you're on a four-manifold to get an incredibly beautiful formulation of electrodynamics. IIRC (I don't have MTW in front of me) you write the Faraday tensor--actually a differential form--$F$, in terms of which Maxwell's equations become $$F^{ij}_{;j} = J^i$$ and $F^{i[j}_{;k]} = (dF)^{ij}_{k} = 0$, where I write $d$ for the exterior derivative. This can be further simplified by noting that the second implies (I think) that $F = dA$ for some 1-form $A$, the vector potential.
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answered Electromagnetism for Mathematician
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awarded  Editor
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comment What does the general solution of the Schrodinger equation represent for the particle in a box problem?
Ach. You're very right. Fixed. Thank you!
Nov
24
revised What does the general solution of the Schrodinger equation represent for the particle in a box problem?
Corrected the typos pointed out by Stan Liou (plus some others).
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answered What does the general solution of the Schrodinger equation represent for the particle in a box problem?
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answered Does the potential energy of fluid rising on a string change?